Duality pair;
trivial ring extension;
Gorenstein projective object;
D O I:
10.1142/S0219498826501896
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Let R be an associative ring with identity and R proportional to M a trivial extension of R by an R-R-bimodule M. We first construct duality pairs of R proportional to M-modules by using duality pairs of R-modules. Then we characterize some classes of Gorenstein projective modules relative to complete duality pairs of R proportional to M-modules.